Question: Showing all steps (more than 3) for question 4d. (4) Prove the following set theory identities by using set builder notation to convert set notation
Showing all steps (more than 3) for question 4d.
(4) Prove the following set theory identities by using set builder notation to convert set notation to and from propositional formulas. For example, to prove (3)(b) one could write (AC)(CB)={xx(AC)x(CB)}={x((xA)(xC))((xC)(xB))}={xF(xC)(xC)(xA)(xB)}={xF(xA)(xB)}={xF}=. (a) (BA)(CA)=(BC)A (b) (AB)C=(AC)(BC). (c) C(AB)=(CA)(CB). (d) (AB)(AB)=(AB)(BA)
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